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The quadratic formula originated from the concept of completing the square. let's take ax2 + bx + c = 0.

To complete the square, solve for x.

Subtract c.

ax2 + bx = -c.

Then divide by a [notice- if there is no a value, then a=1].

x2 + bx/a = -c/a.

Add (b/2a)2 to both sides.

x2 + bx/a + b2/4a2 = -c/a + b2/4a2

Factor/Reformat.

(x + b/2a)2 = (b2-4ac) / 4a2

(x + b/2a)2 = [(b2-4ac) / 2a]2

Square-root both sides.

x + b/2a = ± √(b2-4ac) / 2a

Subtract b/2a.

x = -b/2a ± √(b2-4ac) / 2a

Combine terms.

x = [-b ± √(b2-4ac)] / 2a

Q: Where did the quadratic equation come from?

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the graph for a quadratic equation ct5r

THERE ARE TWO TYPES OF QUADRATIC EQUATION1) complete quadratic equation2) incomplete quadratic equation

The graph (on Cartesian coordinates) of a quadratic equation is a parabola.

an equation has an equals sign.

A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.

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Quadratic equation

The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.

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THERE ARE TWO TYPES OF QUADRATIC EQUATION1) complete quadratic equation2) incomplete quadratic equation

That depends on the equation.

You know an equation is quadratic by looking at the degree of the highest power in the equation. If it is 2, then it is quadratic. so any equation or polynomial of the form: ax2 +bx+c=0 where a is NOT 0 and a, b and c are known as the quadratic coefficients is a quadratic equation.

The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.

It is still called a quadratic equation!

A quadratic equation.

No. [ y = 4x2 ] is a quadratic equation.

an equation has an equals sign.

The graph (on Cartesian coordinates) of a quadratic equation is a parabola.